Question

Q1. Lucy is researching shipping companies for her business to use. She ships between 200
and 500kg of products each week. Ted’s Transport charges a rate of $15.99 per kg, plus a flat
fee. She knows her friend used Ted’s Transport and paid about $2800 to ship 170kg of
belongings. Take variable ‘W’ as weight of the products and ‘C’ as the cost of the transport.
a. State a real-world problem:
List some relevant questions you might ask here. The questions must be authentic in context
to real life situations.
b. Develop a model:
i State the independent and dependent variables in this situation,
ii Explain why a linear model is appropriate for this situation.
ii Find an equation for your linear model in gradient-intercept form.
c. Test the model:
The following week, Lucy makes her first shipment of 310kg and pays $5031.90. Comment
on whether this is consistent with your model. If not, find an alternative model, giving
reasons for how you choose to revise it.
d. Apply your model:
The following week, Lucy budgets $4500 for shipping. State the maximum weight she can
ship, to the nearest kilogram.
e. Reflect on the model:
Find C(0), and comment on its meaning in the context of the problem

Answer 1

Hi

Hello

How are you

and

How are you doing

Hope fine.

I am fine

I wish to be your friend

I am Angeline

Can I get your intro please